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Operators Defined on n-Modular Spaces

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Abstract

In this paper we study the operators defined between n-modular spaces. In particular, compact operators are studied and then given some applications to fixed points.

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References

  1. A. Alexiewicz, On the two-norm convergence, Studia Math. 14 (1953-4), 49–56.

  2. Alexiewicz A., Semadeni Z.: The two-norm spaces and their conjugate spaces. Studia Math. 18, 275–293 (1959)

    MATH  MathSciNet  Google Scholar 

  3. Alexiewicz A., Semadeni Z.: Some properties of two-norm spaces and a characterization of reflexivity of Banach spaces. Studia Math. 19, 115–132 (1960)

    MATH  MathSciNet  Google Scholar 

  4. S. Dhompongsa, T. Dominguez Benavides, A. Kaewcharoen, and B. Panyanak, Fixed point theorems for multivalued mappings in modular function spaces, Sci. Math. Jpn. 63 (no.2) (2006), 161–169.

    Google Scholar 

  5. R.W. Freese and Y.J. Cho, Geometry of linear 2-normed spaces. Nova Science Publishers, Inc., Hauppauge, NY, 2001.

  6. Gähler S.: Lineare 2-normierte Räume. Math. Nachr. 28, 1–43 (1964)

    Article  MATH  MathSciNet  Google Scholar 

  7. Gähler S.: Untersuchungen über verallgemeinerte m-metrische Räume, I. Math. Nachr. 40, 165189 (1969)

    Google Scholar 

  8. M.A. Khamsi, W.M. Kozlowski and S. Reich, Fixed point theory in modular function spaces, Nonlinear Anal. 14 (no. 11) (1990), 935–953.

  9. W.M. Kozlowski, Modular function spaces, Monographs and Textbooks in Pure and Applied Mathematics, 122, Marcel Dekker, Inc., New York, 1988.

  10. Misiak A.: n-inner product spaces. Math. Nachr. 140, 299–319 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  11. J. Musielak, Orlicz spaces and modular spaces, Lecture notes in Mathematics, vol. 1034, Springer-Verlag, Berlin, 1983.

  12. Musielak J., Orlicz W.: On modular spaces. Studia Math. 18, 49–65 (1955)

    MathSciNet  Google Scholar 

  13. J. Musielak and A. Waszak, Linear continuous functionals over some two-modular spaces, Functions, series, operators, vol. I, II (Budapest, 1980), 877–890, Colloq. Math. Soc. János Bolyai, 35, North-Holland, Amsterdam, 1983.

  14. H. Nakano, Modular Semi-Ordered Spaces, Tokyo, Japan, 1959.

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Authors and Affiliations

  1. Department of Mathematics, K. N. Toosi University of Technology, P.O. Box 15875-4416, Tehran, Iran

    Kourosh Nourouzi & Samira Shabanian

  2. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O.Box 19395-5746, Tehran, Iran

    Kourosh Nourouzi

Authors
  1. Kourosh Nourouzi
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  2. Samira Shabanian
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Correspondence to Kourosh Nourouzi.

Additional information

This research was in part supported by a grant from IPM (No.86470033).

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Nourouzi, K., Shabanian, S. Operators Defined on n-Modular Spaces. Mediterr. J. Math. 6, 431 (2009). https://doi.org/10.1007/s00009-009-0016-5

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  • DOI: https://doi.org/10.1007/s00009-009-0016-5

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